Superharmonic functions are locally renormalized solutions

Tero Kilpeläinen*, Tuomo Kuusi, Anna Tuhola-Kujanpää

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

36 Citations (Scopus)

Abstract

We show that different notions of solutions to measure data problems involving p-Laplace type operators and nonnegative source measures are locally essentially equivalent. As an application we characterize singular solutions of multidimensional Riccati type partial differential equations.

Original languageEnglish
Pages (from-to)775-795
Number of pages21
JournalANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume28
Issue number6
DOIs
Publication statusPublished - 2011
MoE publication typeA1 Journal article-refereed

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